The structure of extended function groups

Conformal (respectively, anticonformal) automorphisms of the Riemann sphere are provided by Möbius extended Möbius) transformations. A Kleinian group an group) is a discrete transformations and transformations, necessarily containing ones). function finitely generated with invariant connected component its region discontinuity. structural decomposition groups, in terms Klein-Maskit combination theorems, was Maskit middle 70’s. One should expect similar structure for but it seems not to be stated existing literature. The aim this paper state provide proof such picture.